explain 2/7+15/17 — step-by-step solution

Let's evaluate:

\frac{2}{7} + \frac{15}{17}

ⓘTo add fractions, put them over the same denominator, then add the numerators

\frac{2 \times 17 + 15 \times 7}{7 \times 17}

ⓘMultiplications are done before additions and subtractions:

2 \times 17

(10 + 7) \times 2

10 \times 2 + 7 \times 2

20 + 14

34

‖

15 \times 7

(10 + 5) \times 7

10 \times 7 + 5 \times 7

70 + 35

105

‖

7 \times 17

(10 + 7) \times 7

10 \times 7 + 7 \times 7

70 + 49

119

\frac{34 + 105}{119}

ⓘThe numerator and the denominator are computed before the division:

34 + 105

139

▶Result:

\frac{139}{119}

The approximate value of:

\frac{139}{119}

equals:

▷

\approx 1.1681